Reciprocal oscillons and nonmonotonic fronts in forced nonequilibrium systems |
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Authors: | Yochelis Arik Burke John Knobloch Edgar |
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Institution: | Department of Physics, University of California, Berkeley, California 94720, USA. |
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Abstract: | The formation of oscillons in a synchronously oscillating background is studied in the context of both damped and self-exciting oscillatory media. Using the forced complex Ginzburg-Landau equation we show that such states bifurcate from finite amplitude homogenous states near the 2:1 resonance boundary. In each case we identify a region in parameter space containing a finite multiplicity of coexisting stable oscillons with different structure. Stable time-periodic monotonic and nonmonotonic frontlike states are present in an overlapping region. Both types of structure are related to the presence of a Maxwell point between the zero and finite amplitude homogeneous states. |
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